CoordinateChartData

gives the value of the specified property for chart evaluated at the point {x1,x2,…,xn}.

Details

A coordinate chart may be specified by a coordinate system name, by a pair {coordsys,dim}, or by a standard name of the form {coordsys,metric,dim}. The dimension dim is a positive integer. Pairs {coordsys,dim} are interpreted as referring to the Euclidean metric.

Valid metric specifications include:

"metric"

metric with default parameter values

{"metric",param}

metric with a single parameter specified

{"metric",{param1,param2,…}}

metric with several parameters specified

Valid coordinate system specifications include:

"coordsys"

coordinate system with default parameter values

{"coordsys",param}

coordinate system with a single parameter specified

{"coordsys",{param1,param2,…}}

coordinate system with several parameters specified

If an evaluation point {x1,x2,…,xn} is given, the dimension n may be omitted from the coordinate chart name in the first argument.

Any or all of the elements of the triple in {coordsys,metric,dim} can be replaced with the symbol All. In this case, CoordinateChartData[chart,property] will return a list of values for the coordinate charts that match the specified elements.

CoordinateChartData[] gives a list of available coordinate charts, including only low-dimensional members of infinite families.